Spectral Order Automorphisms of the Spaces of Hilbert Space Effects and Observables

2007 ◽  
Vol 80 (3) ◽  
pp. 239-255 ◽  
Author(s):  
Lajos Molnár ◽  
Peter Šemrl
Keyword(s):  
Hilbert Space ◽  
Spectral Order ◽  
Hilbert Space Effects ◽  
Space Effects

A note on the infimum problem of Hilbert space effects

2006 ◽  
Vol 47 (10) ◽  
pp. 102103 ◽  
Author(s):  
Li Yuan ◽  
Hong-Ke Du
Keyword(s):  
Hilbert Space ◽  
Hilbert Space Effects ◽  
Space Effects

Preserving some numerical correspondencesbetween Hilbert space effects

2004 ◽  
Vol 54 (2) ◽  
pp. 201-209 ◽  
Author(s):  
Endre Kovács ◽  
Lajos Molnár
Keyword(s):  
Hilbert Space ◽  
Hilbert Space Effects ◽  
Space Effects

scholarly journals Infima of Hilbert space effects

1999 ◽  
Vol 286 (1-3) ◽  
pp. 1-17 ◽  
Author(s):  
T. Moreland ◽  
S. Gudder
Keyword(s):  
Hilbert Space ◽  
Hilbert Space Effects ◽  
Space Effects

scholarly journals Preservers on Hilbert space effects

2003 ◽  
Vol 370 ◽  
pp. 287-300 ◽  
Author(s):  
Lajos Molnár
Keyword(s):  
Hilbert Space ◽  
Hilbert Space Effects ◽  
Space Effects

On the infimum problem of Hilbert space effects

2006 ◽  
Vol 49 (4) ◽  
pp. 545-556 ◽  
Author(s):  
Hongke Du ◽  
Chunyuan Deng ◽  
Qihui Li
Keyword(s):  
Hilbert Space ◽  
Hilbert Space Effects ◽  
Space Effects

Synaptic algebras

2010 ◽  
Vol 60 (5) ◽  
Author(s):  
David Foulis
Keyword(s):  
Hilbert Space ◽  
Jordan Algebra ◽  
Normed Space ◽  
Orthomodular Lattice ◽  
Effect Algebra ◽  
Order Unit ◽  
Natural Conditions ◽  
Spectral Order ◽  
Synaptic Algebra ◽  
Special Jordan Algebra

AbstractA synaptic algebra is both a special Jordan algebra and a spectral order-unit normed space satisfying certain natural conditions suggested by the partially ordered Jordan algebra of bounded Hermitian operators on a Hilbert space. The adjective “synaptic”, borrowed from biology, is meant to suggest that such an algebra coherently “ties together” the notions of a Jordan algebra, a spectral order-unit normed space, a convex effect algebra, and an orthomodular lattice.

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